t√√t + ,2 + t dx

Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)-pi/6. decimal…

A: differential equation

Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

A: Topic = Derivative

Q: 3 Evaluate: ³₁₂₁(4x²y — z³) dz dy dx

A: Topic = Integration

Q: Given f(x) below, find f'(x). Provide your answer below: f'(x) = f(x) = - +6 √√x 15 dt

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Q: Evaluate: ƒ³, ƒ²₁ √√₁²[z³(x + y)³] dz dy dx -3

A: Given :∫-33∫-12∫01z3x+y3dzdydx

Q: Consider the function f(x) = cos x - 3x + 1. Since f(0)f < 0, f(x) has a root in [o,]. If we use…

A: The function f(x)=cos x-3x+1 has a root in 0,π2, with x0=0.5

Q: What is the direction of the vector (8, -7)? A 41.19° B 138.81° с 221.19° D 318.81°

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Q: Find the area of the region bounded by 2x = and the y-axis using the horizontal strip. 4 y²+1

A: We have to find the area using horizontal strip.

Q: 1. Evaluate the assigned limit using L'Hopital's Rule. lim [cos (2x)]¹/(*-*) X-T

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Q: t sin (=) dt du

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Q: ³₂²₁²[z³(x + y)³] dz dy dx

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Q: Find the point on the line y = 7x closest to the point (1, 0). (Use symbolic notation and fractions…

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Q: Which of the following functions will be continuous on (0, 3)? O A. g(x) = 7√2² - 16 OB. 6 f(x)…

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Q: Find the area of the region bounded by x = the horizontal strip. y²+1 and the y-axis using

A: Find the area of the region bounded by x= 1/(y2+1) and the y-axis using the horizontal strip.

Q: CONSIDER A FUNCTION OF R IN R DEFINED BY: x² + 1 X-2 SO, THE EXPRESSION: f(x) - f(3) x - 3 FOR 2 IS…

A: f is a function of R in R defined by  f(x)=( x2+1)/(x-2)  Then expression [ f(x)-f(3)]/(x-3) ?

Q: e same overtime Create Workflow xb₂) 5(21 @ (1) The volume of the solid obtained by rotating the…

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Q: Determine the values of r for which the differential equation y + 2y = 0 has solutions of the form y…

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Q: The substitution = 2x -y and v= x + y make the region R (see figure) into a simple region S in the…

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Q: Determine the derivative of the following function. Do not simplify. y = ecosxsinx

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Q: solving the following differential equations (x + tany)dy=sin ey dx

A: On solving this we will get

Q: Determine the values of r for which the given differential equation has solutions of the form y = t'…

A: To find for what  values of r the given term becomes solution of differential equation.

Q: 1. a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A farmer needs to enclose a field with a fence. He has 500ft of fencing materials and a building on…

A: Topic = Derivative

Q: Evaluate: ²₁²²-²² du (x²-y²)²] S du dt x+y

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Q: xn+xn-1+xn-2+...+ roo (n−1)n-1+(n−2)æn=2+…+ What is the lim ne Zt?

A: This is a problem related to limit and continuity. Based on the general formula and concept we will…

Q: Sy² sin Sy dy 1 A) ----² cos Sv + y sin y sin Sy + 1 256 32- 1 1 B) ² cos By-y sin Sy-256 9-11-² sin…

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Q: Integrate the following Integrals: 1) [x² 3x dx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Evaluate the following indefinite integrals. Show your solution. 1. f5 einx(sin x + cos x) dx ecos…

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Q: -3 ³₁₂₁(4x²y - z³) dz dy dx

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Q: Solve The equation (finding the general solution - @ y(t) = t/y(t) 69 (0) = 2 @ Ý (t) = te y(t) ,…

A: To solve the following differential equations.1 y't=tyt, y0=2 2 y't=te-yt, y1=0

Q: Do as indicated. a. Find the equation the tangent line and normal line to the graph of f(x) = x³ at…

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Q: 2 t √3u Evaluate the integral: №³4 524 4²2 ds du dt s²+u²

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Q: Evaluate: xy² dx dy [√ 0

A: We have to find value of given definite double integration.

Q: . Reason Jupiter's gravity changes a spacecraft's path to a hyperbola as it approaches. The focus of…

A: We need to find hyperbola equation.

Q: A piece of wire 20 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Please refer to the image below

Q: [s sec5 x tan4x dx

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Q: (x - 1)ex (x + 1)³ -dx

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Q: 5. Evaluate : p.v x² -∞0 (x²+3)² 8 dx

A: Concept: Some important integration formulas: ∫1a2+x2=1atan-1xa+C Where C is constant Reduction…

Q: (1+y^2)dx+(x^2y+y+2xy)dy=0

A: 1+y2 dx+x2y+y+2xy dy=0

Q: If g is said to be the antiderivative of the function f then O a. Inconclusive O b. O c. O d. g'(x)…

A: Here we have to choose the correct option.

Q: Find the area of the region bounded by the curves 1 y = (x+8)2 y = 4 and the x-axis using vertical…

A: Explanation of the answer is as follows

Q: y' = xy2 O y(x? + c) -2=0 2 (x² + y=(x+ c) + 2 = 0 y(x= + c) + 2 = 0 y2(x? + c) + 2 = 0 00 Ꮎ

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Q: √2+x-√2-x X lim- --0

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Q: Evaluate the integral: S2 S² sin (=) dt du π/2

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Q: Evaluate 1₁-² 63 dx 1- cos (9x) 63 dx 1- cos (9x) - 7 cot 9x 2 +C

A: To evaluate the given integral.

Q: 3 Evaluate: ₂(4x²y - z³) dz dy dx

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Q: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: x≤ 1,0 ≤ y ≤ √1-x²,…

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Q: The derivative of sec2 2x(cos2x−sin2x) with respect to x is

A: Given: f(x)=sec2 2x(cos2x−sin2x)   Simplify the function before finding the derivative: By  the…